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Actions of discrete groups on stationary Lorentz manifolds

Published online by Cambridge University Press:  05 June 2013

PAOLO PICCIONE and
ABDELGHANI ZEGHIB
PAOLO PICCIONE
Affiliation:
Departamento de Matemática, Universidade de São Paulo, Rua do Matão 1010, 05508-900, São Paulo, SP, Brazil email piccione@ime.usp.br
ABDELGHANI ZEGHIB
Affiliation:
Unité de Mathématiques Pures et Appliquées, École Normale Supérieure de Lyon, 46, Allée d’Italie, 69364 Lyon Cedex 07, France email abdelghani.zeghib@ens-lyon.fr
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Abstract

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We study the geometry of compact Lorentzian manifolds that admit a somewhere timelike Killing vector field, and whose isometry group has infinitely many connected components. Up to a finite cover, such manifolds are products (or amalgamated products) of a flat Lorentzian torus and a compact Riemannian (respectively, lightlike) manifold.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 5 , October 2014, pp. 1640 - 1673
Copyright
© Cambridge University Press, 2013 

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